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Finding the Third Proportional to 95,976 and 134,208

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Solution

The third proportional to 95,976 and 134,208 is: 187,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,976 : 134,208 = 134,208 : x
  2. Step 2: Convert to fraction form
    95,976/134,208 = 134,208/x
  3. Step 3: Cross multiply
    95,976x = 134,208 × 134,208
  4. Step 4: Simplify right side
    95,976x = 18,011,787,264
  5. Step 5: Solve for x
    x = 18,011,787,264/95,976
  6. Step 6: Final answer
    x = 187,669.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.